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NAME: KCV
UNIT 6
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C0NNECTING ALGEBRA AND GEOMETRY THR0UGH CO0RDINATES
Lesson 1: Slope*and Distance
Problem-Based Task 6.1.2: Field of Dreams
A square is a quadrilateral with two pairs of parallel opposite sides, consecutive sides that are
perpendicular, and all sides congruent. The bases and home plate of a baseball diamond form
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square. The local recreation department has created a map of its newest baseball field. First base is
represented by the point (7, -3), second base is represented by (4,6), third base is represented by
(-5, 3), and home plate is represented by (-2,-6). Is this field actually a square? What is the distance
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from second base to home plate? What is the distance from third base to first base?
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Lesson 1: Slope-and Distance
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ALGEBHA ANEI GE0MTTHY THR0UGH C00HIIIHATES
Lesson 1: Slopeand Distance
Problem-Based Task 6.1.2: Field of Dreams
Coaching
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a. What does the map of the field look like?
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b.
\A-Ihich sides of the baseball field are opposites?
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c. What is the slope of the line connecting first base and second base?
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What is the slope of the line connecting home plate and third base?
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What is the slope of the line connecting third base and secorid base?
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h. Which sides of the baseballfield are consecutive?
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How is the slope of the line connecting first and segond hese related to the line connecting
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first base and home
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How is the slope of the line connecting second base
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